What is the Least Common Multiple of 39758 and 39776?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 39758 and 39776 is 790707104.
LCM(39758,39776) = 790707104
Least Common Multiple of 39758 and 39776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39758 and 39776, than apply into the LCM equation.
GCF(39758,39776) = 2
LCM(39758,39776) = ( 39758 × 39776) / 2
LCM(39758,39776) = 1581414208 / 2
LCM(39758,39776) = 790707104
Least Common Multiple (LCM) of 39758 and 39776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39758 and 39776. First we will calculate the prime factors of 39758 and 39776.
Prime Factorization of 39758
Prime factors of 39758 are 2, 103, 193. Prime factorization of 39758 in exponential form is:
39758 = 21 × 1031 × 1931
Prime Factorization of 39776
Prime factors of 39776 are 2, 11, 113. Prime factorization of 39776 in exponential form is:
39776 = 25 × 111 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 39758 and 39776.
LCM(39758,39776) = 25 × 1031 × 1931 × 111 × 1131
LCM(39758,39776) = 790707104
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